Least Common Multiple of 34 and 35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34 and 35 the smallest integer that is 1190 that is divisible by both numbers.

Least Common Multiple (LCM) of 34 and 35 is 1190.

LCM(34,35) = 1190

LCM of 34 and 35

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 34 and 35

LCM of 34 and 35 is 1190

Least common multiple can be found by multiplying the highest exponent prime factors of 34 and 35. First we will calculate the prime factors of 34 and 35.

Prime Factorization of 34


2 34
17 17
1

Prime factors of 34 are 2,17. Prime factorization of 34 in exponential form is:

34 = 21×171

Prime Factorization of 35


5 35
7 7
1

Prime factors of 35 are 5,7. Prime factorization of 35 in exponential form is:

35 = 51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 34 and 35.

LCM(34,35) = 21×51×71×171
LCM(34,35) = 1190

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Least Common Multiple of 34 and 35 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34 and 35, than apply into the LCM equation.

GCF(34,35) = 1
LCM(34,35) = ( 34 × 35) / 1
LCM(34,35) = 1190 / 1
LCM(34,35) = 1190

Properties of LCM 34 and 35

(i) The LCM of 35 and 34 is associative

LCM of 34 and 35 = LCM of 35 and 34

Related Least Common Multiples of 34

Related Least Common Multiples of 35

Frequently Asked Questions on LCM of 34 and 35

1. What is the LCM of 34 and 35?

Answer: LCM of 34 and 35 is 1190.

2. What are the Factors of 34?

Answer: Factors of 34 are 1, 2, 17, 34. There are 4 integers that are factors of 34. The greatest factor of 34 is 34.

3. What are the Factors of 35?

Answer: Factors of 35 are 1, 5, 7, 35. There are 4 integers that are factors of 35. The greatest factor of 35 is 35.

4. How to Find the LCM of 34 and 35?

Answer:

Least Common Multiple of 34 and 35 = 1190

Step 1: Find the prime factorization of 34

34 = 2 x 17

Step 2: Find the prime factorization of 35

35 = 5 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1190 = 2 x 5 x 7 x 17

Step 4: Therefore, the least common multiple of 34 and 35 is 1190.